+2 votes
in JEE by kratos

Sketch the region bounded by the curves y = x2 and y = 2/(1 + x2). Find its area.

1 Answer

+6 votes
by kratos
 
Best answer

The curve y = x2 is a parabola. It is symmetric about y-axis and has its vertex at (0, 0) and the curve y = 2/(1 + x2) is a bell shaped curve, x-axis is its a symptote and it is symmetric about y-axis and its vertex is (0, 2).

Therefore, coordinates of C are (-1, 1) and coordinates of B are (1,1 ).

The required area is OBACO = 2 area of curve OBAO

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